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Finding the Fourth Proportional to 363.31, 500.33 and 346.91

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Solution

The fourth proportional to 363.31, 500.33 and 346.91 is: 477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.31 : 500.33 = 346.91 : x
  2. Step 2: Convert to fraction form
    363.31/500.33 = 346.91/x
  3. Step 3: Cross multiply
    363.31x = 500.33 × 346.91
  4. Step 4: Simplify right side
    363.31x = 173,567.75
  5. Step 5: Solve for x
    x = 173,567.75/363.31
  6. Step 6: Final answer
    x = 477.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.